LOSSPR

Measure the probability of loss at throughout an investment horizon (first-passage time) or at the end of horizon.

Description

Probability of loss is a measure of the likelihood that a portfolio will incur a particular percentage of loss at the end of an investment horizon. The function is also able to calculate the within-horizon probability of loss which is estimated as a first-passage time probability.

See https://insights.windhamlabs.com/insights/rethinking-exposure-to-loss for an introduction to stress testing your portfolios and assessing a more realistic measurement of exposure to loss.

Syntax

The following describes the function signature for use in Microsoft Excel's formula bar.

=LOSSPR(mu, sigma, horizon, lossThreshold, estWithinHorizon)

Input(s)

Argument
Description

mu

Required. Vector / scalar of portfolio return estimate(s).

sigma

Required. Vector / scalar of portoflio risk estimate(s).

horizon

Required. Investment time horizon in the same time units of mu and sigma.

threshold

Required. Loss threshold to assess likelihoods.

estWithinHorizon

Optional. Logical flag (TRUE or FALSE) to indicate whether you would like to calculate the within-horizon risk measurement. If this argument is not specified, it defaults to false.

Output(s)

Probability of loss estimate(s).

Example

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